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Finding the Fourth Proportional to 1,324.80, 1,987.11 and 350.91

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Solution

The fourth proportional to 1,324.80, 1,987.11 and 350.91 is: 526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.80 : 1,987.11 = 350.91 : x
  2. Step 2: Convert to fraction form
    1,324.80/1,987.11 = 350.91/x
  3. Step 3: Cross multiply
    1,324.80x = 1,987.11 × 350.91
  4. Step 4: Simplify right side
    1,324.80x = 697,296.77
  5. Step 5: Solve for x
    x = 697,296.77/1,324.80
  6. Step 6: Final answer
    x = 526.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.